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Date of Birth: 1987. 04
Email: email@example.com; firstname.lastname@example.org;
Address: 182 George St, Providence, RI, USA, 02912
Postdoctoral Research Associate
Division of Applied Mathematics, Brown University
Prof. George Em Karniadakis
Numerical methods for fractional PDEs and nonlinear PDEs: Finite difference method and Spectral method；Superconvergence; Wave propagation;
Nov 2014 - present, Brown University, Postdoctoral Research Associate, work with: Prof. George Em Karniadakis
July 2014 - Nov 2014, Beijing Computational Science Research Center, Visiting Research Scholar, work with: Prof. Zhimin Zhang
Mar 2011 - June 2014, Southeast University, Doctor degree of Applied Mathematics, Supervisor: Prof. Zhi-zhong Sun
June 2012 - Aug 2013, Brown University, Joint PhD student at Division of Applied Mathematics, Supervisor: Prof. George Em Karniadakis
Aug 2008 - Mar 2011, Southeast University, M.S. of Computational Mathematics, Supervisor: Prof. Zhi-zhong Sun
Sep 2004 - Jun 2008, Nanjing Xiaozhuang College, B.S. of Applied Mathematics
Reviewer for: Journal of Computational Physics, Applied Mathematical Modelling, Heat Transfer-Asian Research, Mathematics and Computers in Simulation, International Journal of Computer Mathematics, Acta Mathematica Scientia, Numerical Algorithms
Peer-Reviewed Journal Publications:
Google Citations: http://scholar.google.com/citations?user=ZNuh1dAAAAAJ&hl=en
 Xuan Zhao, Zhi-zhong Sun, A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions, Journal of Computational Physics, 230 (2011), 6061-6074.
 Juan Li, Zhi-zhong Sun, Zhao Xuan, A three level linearized compact difference scheme for the Cahn-Hilliard equation, Sci China Math, 55 (2012), 805-826.
 Ya-nan Zhang, Zhi-zhong Sun, Xuan Zhao, Compact alternating direction implicit schemes for the two-dimensional fractional diffusion-wave equation, SIAM Journal on Numerical Analysis., 50 ( 2012) , 1535-1555.
 Jin-cheng Ren, Zhi-zhong Sun, Xuan Zhao, Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions, Journal of Computational Physics, 232 (2013), 456-467.
 Xuan Zhao, Qinwu Xu, Efficient numerical schemes for fractional sub-diffusion equation with the spatially variable coefficient, Applied Mathematical Modelling, 38 (2014) 3848-3859.
 Xuan Zhao, Zhi-zhong Sun, Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium, Journal of Scientific Computing, (2014) 1-25.
 Xuan Zhao, Zhi-zhong Sun, George Em Karniadakis, Second order approximations for variable order fractional derivatives: Algorithms and applications, Journal of Computational Physics, Special Issue on Fractional PDEs, (2014) doi:10.1016/j.jcp.2014. 08.015
 Xuan Zhao, Zhi-zhong Sun, Zhao-peng Hao, A fourth-order compact ADI scheme for 2D nonlinear space fractional Schrödinger equation, SIAM Journal on Scientific Computing, SIAM Journal on Scientific Computing. 36-6 (2014), pp. A2865-A2886.
 Haiyan Cao, Zhi-zhong Sun, Xuan Zhao, A second-order three-level difference scheme for a Magneto-Thermo-Elasticity Model, Adv. Appl. Math. Mech., 6 (2014), 281-298.
Conferences and Invited Talks:
 2012.6.15，Division of Applied Mathematics, Brown University, CRUNCH SEMINAR. Title：Introduction to Fractional Calculus, Its Application and Numerical method (60 mins).
 2012.11.25-28, 4th international conference on computational methods, Gold Coast, Australia. Title：A compact scheme for fractional sub-diffusion equation with variable coefficient (20 mins).
 2013.2.7，Division of Applied Mathematics, Brown University, Prof. Chi-wang Shu’s group meeting. Title：Introduction to Fractional Calculus, Its Application and two FDM algorithms for TFPDEs (60 mins).
 2013.11.14, Institute of Computational Mathematics and Science/Engineering Computing, Chinese Academy of Science. Title：Variable order fractional derivative for the numerical simulation of waves (40 mins).
 2014.06.23，International Conference on Fractional Differentiation and its Applications, Catania, Italy. Title：Second order approximations for variable order fractional derivatives and the simulation of waves (15 mins).
 2014. 10. 30, Institute of Computational Mathematics and Science/Engineering Computing, Chinese Academy of Science. Title：Second-order approximations for variable order fractional derivatives: Algorithms and applications (60 mins).
 2013.6 International Symposium on Fractional PDEs: Theory, Numerics and Applications, Newport, RI, USA
 2014.5 Annual meeting of computational mathematics of Jiangsu province, Nanjing, Jiangsu, China
 Innovation Project for College Graduates of Jiangsu Province, No. CXLX11_0093, from 2011.06 to 2013.06, in charge.
 National Natural Science Foundation of China, No. 11271068, form 2013.01-2016.12, participant.
T. A. Experience
 2009.9-2010.6 Advanced Mathematics, Southeast University, Instructor: Dan He
 2013.5 Short course of fractional partial differential equation, Brown University, Instructor: Prof. Fa-Wang Liu and Prof. Zhi-Zhong Sun
 2013.11-12 Short course of Spectral Element Method, Peking University, Instructor: Prof. George Em Karniadakis